The Complementary Nabla Bennett-Leindler Type Inequalities
| dc.contributor.author | Kayar, Zeynep | |
| dc.contributor.author | Kaymakcalan, Billur | |
| dc.date.accessioned | 2024-04-29T12:17:39Z | |
| dc.date.accessioned | 2025-09-18T13:27:01Z | |
| dc.date.available | 2024-04-29T12:17:39Z | |
| dc.date.available | 2025-09-18T13:27:01Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We aim to find the complements of the Bennett-Leindler type inequalities in nabla time scale calculus by changing the exponent from 0 < zeta < 1 to zeta > 1. Different from the literature, the directions of the new inequalities, where zeta > 1, are the same as that of the previous nabla Bennett-Leindler type inequalities obtained for 0 < zeta < 1. By these settings, we not only complement existing nabla Bennett-Leindler type inequalities but also generalize them by involving more exponents. The dual results for the delta approach and the special cases for the discrete and continuous ones are obtained as well. Some of our results are novel even in the special cases. | en_US |
| dc.identifier.citation | Kayar, Zeynep; Kaymakçalan, B. (2022). "The complementary nabla Bennett-Leindler type inequalities", Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Vol.71, No.2, pp.349-376. | en_US |
| dc.identifier.doi | 10.31801/cfsuasmas.930138 | |
| dc.identifier.issn | 1303-5991 | |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.930138 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12798 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ankara Univ, Fac Sci | en_US |
| dc.relation.ispartof | Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Time Scale Calculus | en_US |
| dc.subject | Hardy'S Inequality | en_US |
| dc.subject | Bennett'S Inequality | en_US |
| dc.subject | Leindler'S Inequality | en_US |
| dc.title | The Complementary Nabla Bennett-Leindler Type Inequalities | en_US |
| dc.title | The complementary nabla Bennett-Leindler type inequalities | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kayar, Zeynep] Van Yuzuncu Yil Univ, Dept Math, Van, Turkey; [Kaymakcalan, Billur] Cankaya Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.endpage | 376 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 349 | en_US |
| gdc.description.volume | 71 | en_US |
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| gdc.oaire.keywords | Bennett's inequality | |
| gdc.oaire.keywords | Matematik | |
| gdc.oaire.keywords | Hardy's inequality | |
| gdc.oaire.keywords | Time scale calculus | |
| gdc.oaire.keywords | Time scale calculus;Hardy's inequality;Bennett's inequality;Leindler's inequality | |
| gdc.oaire.keywords | Leindler's inequality | |
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| gdc.virtual.author | Kaymakçalan, Billur | |
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